Ordinary Differential Equations

Ordinary Differential Equations PDF
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Author: Morris Tenenbaum
Publisher: Courier Corporation
ISBN: 0486649407
Size: 30.96 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 808
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Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.


An Introduction To Ordinary Differential Equations

An Introduction to Ordinary Differential Equations PDF
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Author: Earl A. Coddington
Publisher: Courier Corporation
ISBN: 9780486659428
Size: 70.84 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 292
View: 4508

A thorough and systematic first course in elementary differential equations for undergraduates in mathematics and science, with many exercises and problems (with answers).


Ordinary Differential Equations

Ordinary Differential Equations PDF
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Author: Wolfgang Walter
Publisher: Springer Science & Business Media
ISBN: 1461206014
Size: 57.41 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 384
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Based on a translation of the 6th edition of Gewöhnliche Differentialgleichungen by Wolfgang Walter, this edition includes additional treatments of important subjects not found in the German text as well as material that is seldom found in textbooks, such as new proofs for basic theorems. This unique feature of the book calls for a closer look at contents and methods with an emphasis on subjects outside the mainstream. Exercises, which range from routine to demanding, are dispersed throughout the text and some include an outline of the solution. Applications from mechanics to mathematical biology are included and solutions of selected exercises are found at the end of the book. It is suitable for mathematics, physics, and computer science graduate students to be used as collateral reading and as a reference source for mathematicians. Readers should have a sound knowledge of infinitesimal calculus and be familiar with basic notions from linear algebra; functional analysis is developed in the text when needed.


Geometrische Methoden In Der Theorie Der Gew Hnlichen Differentialgleichungen

Geometrische Methoden in der Theorie der gew  hnlichen Differentialgleichungen PDF
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Author: ARNOLD
Publisher: Springer-Verlag
ISBN: 3034871252
Size: 37.87 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : de
Pages : 320
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Geometrische Methoden In Der Theorie Der Gew Hnlichen Differentialgleichungen

Geometrische Methoden in der Theorie der gew  hnlichen Differentialgleichungen PDF
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Author: ARNOLD
Publisher: Birkhäuser
ISBN: 9783034871266
Size: 72.60 MB
Format: PDF
Category : Mathematics
Languages : de
Pages : 320
View: 5834

lOsung von Singularitiiten, Liesche Gruppen, Newton-Diagramme) einerseits und den naturwissenschaftlichen Anwendungen andererseits. Die Theorie der partiellen Differentialgleichungen erster Ordnung wird mit Hilfe der natiirlichen Kontaktstruktur in der Mannigfaltigkeit der l-Jets von Funktionen untersucht. Nebenbei werden dabei die notwendigen Elemente der Geometrie der Kontaktstruktur dargelegt, die die ganze Theorie unabhiingig von anderen Quellen machen. Einen entscheidenden Teil des Buches nehmen die gewohnlich qualitativ genann­ ten Methoden ein. Die jiingste Entwicklung der von H. POINCARE begriindeten quali­ tativen Theorie der Differentialgleichungen flihrte zum Verstiindnis dessen, daB genauso, wie einzelne Differentialgleichungen im allgemeinen nicht vollstiindig inte­ grierbar sind, auch die qualitative Untersuchung gewisser allgemeiner Differential­ gleichungen mit mehrdimensionalem Phasenraum unmoglich ist. In diesem Zusam­ menhang wird die Analyse einer Differentialgleichung vom Standpunkt der Struktur­ stabilitiit; d. h. der Stabilitiit des qualitativen Bildes in Hinsicht auf kleine . Anderun­ gen der Differentialgleichung, im Kapitel 3 behandelt. Es werden die Hauptresul­ tate, die nach den ersten Arbeiten von A. A. ANDRONOV und L. S. PONTRJAGIN er­ zielt wurden, dargestellt: die Grundlagen der Theorie der strukturstabilen Anosov­ Systeme, deren Trajektorien alle exponentiell instabil sind, und der Satz von SMALE iiber die Nichtdichtheit der Menge der strukturstabilen Systeme. Es wird dann weiter die Bedeutung dieser mathematischen Entdeckungen flir die Anwendungen diskutiert (die Rede ist dabei von der Beschreibung stabiler chaotischer Bewe­ glmgsregimes, beispielweise Turbulenzen). Zu den stiirksten und am meisten verwendeten Methoden der Untersuchung von Differentialgleichungen gehoren verschiedene asymptotische Methoden.


Handbook Of Ordinary Differential Equations

Handbook of Ordinary Differential Equations PDF
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Author: Andrei D. Polyanin
Publisher: CRC Press
ISBN: 1351643916
Size: 28.14 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 1496
View: 6396

The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems, is an exceptional and complete reference for scientists and engineers as it contains over 7,000 ordinary differential equations with solutions. This book contains more equations and methods used in the field than any other book currently available. Included in the handbook are exact, asymptotic, approximate analytical, numerical symbolic and qualitative methods that are used for solving and analyzing linear and nonlinear equations. The authors also present formulas for effective construction of solutions and many different equations arising in various applications like heat transfer, elasticity, hydrodynamics and more. This extensive handbook is the perfect resource for engineers and scientists searching for an exhaustive reservoir of information on ordinary differential equations.


Ordinary Differential Equations

Ordinary Differential Equations PDF
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Author: Hartmut Logemann
Publisher: Springer
ISBN: 9781447163978
Size: 27.24 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 333
View: 1716

The book comprises a rigorous and self-contained treatment of initial-value problems for ordinary differential equations. It additionally develops the basics of control theory, which is a unique feature in current textbook literature. The following topics are particularly emphasised: • existence, uniqueness and continuation of solutions, • continuous dependence on initial data, • flows, • qualitative behaviour of solutions, • limit sets, • stability theory, • invariance principles, • introductory control theory, • feedback and stabilization. The last two items cover classical control theoretic material such as linear control theory and absolute stability of nonlinear feedback systems. It also includes an introduction to the more recent concept of input-to-state stability. Only a basic grounding in linear algebra and analysis is assumed. Ordinary Differential Equations will be suitable for final year undergraduate students of mathematics and appropriate for beginning postgraduates in mathematics and in mathematically oriented engineering and science.


Ordinary Differential Equations

Ordinary Differential Equations PDF
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Author: Philip Hartman
Publisher: SIAM
ISBN: 0898715105
Size: 33.58 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 612
View: 3547

Covers the fundamentals of the theory of ordinary differential equations.


Handbook Of Exact Solutions For Ordinary Differential Equations

Handbook of Exact Solutions for Ordinary Differential Equations PDF
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Author: Valentin F. Zaitsev
Publisher: CRC Press
ISBN: 1420035339
Size: 43.30 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 816
View: 6519

Exact solutions of differential equations continue to play an important role in the understanding of many phenomena and processes throughout the natural sciences in that they can verify the correctness of or estimate errors in solutions reached by numerical, asymptotic, and approximate analytical methods. The new edition of this bestselling handbook now contains the exact solutions to more than 6200 ordinary differential equations. The authors have made significant enhancements to this edition, including: An introductory chapter that describes exact, asymptotic, and approximate analytical methods for solving ordinary differential equations The addition of solutions to more than 1200 nonlinear equations An improved format that allows for an expanded table of contents that makes locating equations of interest more quickly and easily Expansion of the supplement on special functions This handbook's focus on equations encountered in applications and on equations that appear simple but prove particularly difficult to integrate make it an indispensable addition to the arsenals of mathematicians, scientists, and engineers alike.


Theory Of Ordinary Differential Equations

Theory of Ordinary Differential Equations PDF
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Author: Earl A. Coddington
Publisher: Tata McGraw-Hill Education
ISBN:
Size: 67.37 MB
Format: PDF
Category : Boundary value problems
Languages : en
Pages : 429
View: 3017

This book has developed from courses given by the authors and probably contains more material than will ordinarily be covered in a one-year course. It is hoped that the book will be a useful text in the application of differential equations as well as for the pure mathematician. Prerequisite for this book is a knowledge of matrices and the essentials of functions in a complex variable. The book thoroughly addresses linear equations, and touches on the use of the Riemann-Stieltjes integral, and the Lebesgue integral, and the theorems required from integration theory. The problems, in some cases, give additional material not considered in the text.